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1994•Journal of Functional AnalysisOpen access

Cocycle Conjugacy Classes of Shifts on the Hyperfinite II1 Factor

Robert T. Powers, Geoffrey L. Price

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Abstract

We study a class of endomorphisms of subfactor index 2, called binary shifts, on the hyperfinite II1 factor. Invariants are identified for cocycle conjugacy and strong cocycle conjugacy classes. In particular, there is a connection between the Bratteli diagram associated with a binary shift and strong cocycle conjugacy.

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We study a class of endomorphisms of subfactor index 2, called binary shifts, on the hyperfinite II1 factor. Invariants are identified for cocycle conjugacy and strong cocycle conjugacy classes. In particular, there is a connection between the Bratteli diagram associated with a binary shift and strong cocycle conjugacy.

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Available abstract

We study a class of endomorphisms of subfactor index 2, called binary shifts, on the hyperfinite II1 factor. Invariants are identified for cocycle conjugacy and strong cocycle conjugacy classes. In particular, there is a connection between the Bratteli diagram associated with a binary shift and strong cocycle conjugacy.

Key concepts: Mathematics, Conjugacy class, Endomorphism, Pure mathematics, Connection (principal bundle), Class (philosophy), Binary number, Geometry

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